Results 21 to 30 of about 803,993 (268)

Squinting at power series [PDF]

open access: yesSoftware: Practice and Experience, 1990
AbstractData streams are an ideal vehicle for handling power series. Stream implementations can be read off directly from simple recursive equations that define operations such as multiplication, substitution, exponentiation and reversion of series.
openaire   +1 more source

Asymptotic series solution of variational stokes problems in planar domain with crack-like singularity

open access: yesApplied Mathematics in Science and Engineering, 2022
A class of nonlinear variational problems describing incompressible fluids and solids by stationary Stokes equations given in a planar domain with a crack (infinitely thin flat plate in fluids) is considered.
Victor A. Kovtunenko, Kohji Ohtsuka
doaj   +1 more source

Irrational Power Series [PDF]

open access: yesProceedings of the American Mathematical Society, 1960
Then G is a rationalfunction of x if and only if a is a rational number. As usual, [x] denotes the integral part of x and { x } the fractional part of x, so that x = [x] + { x }. We first prove LEMMA 1. Let a be a real irrational number, and let R be a finite set of non-integral real numbers. Then there are infinitely many positive integers m such that
openaire   +1 more source

The Analitical Solution of Linear and Non-Linear Differential- Algebraic Equations (DAEs) with Laplace-Padé Series Method

open access: yesMANAS: Journal of Engineering
In this paper, we apply Laplace-Padé Series method to solve linear and non-linear differentialalgebraicequations (DAEs). Firstly, The basic properties of the Laplace-Padé Series method aregiven.
Nooriza Myrzabekova, Ercan Celık
doaj   +1 more source

On a High-Precision Method for Studying Attractors of Dynamical Systems and Systems of Explosive Type

open access: yesMathematics, 2022
The author of this article considers a numerical method that uses high-precision calculations to construct approximations to attractors of dynamical systems of chaotic type with a quadratic right-hand side, as well as to find the vertical asymptotes of ...
Alexander N. Pchelintsev
doaj   +1 more source

On Benford’s Law and the Coefficients of the Riemann Mapping Function for the Exterior of the Mandelbrot Set

open access: yesFractal and Fractional, 2022
We investigate Benford’s law in relation to fractal geometry. Basic fractals, such as the Cantor set and Sierpinski triangle are obtained as the limit of iterative sets, and the unique measures of their components follow a geometric distribution, which ...
Filippo Beretta   +5 more
doaj   +1 more source

Norm and Numerical Radius Inequalities for Sums of Power Series of Operators in Hilbert Spaces

open access: yesAxioms
The main focus of this paper is on establishing inequalities for the norm and numerical radius of various operators applied to a power series with the complex coefficients h(λ)=∑k=0∞akλk and its modified version ha(λ)=∑k=0∞|ak|λk. The convergence of h(λ)
Najla Altwaijry   +2 more
doaj   +1 more source

Energy-optimal current distribution in an electrical network – controlling by the differential or the integral systems [PDF]

open access: yesBulletin of the Polish Academy of Sciences: Technical Sciences, 2019
In the complex RLC network, apart from the currents flows arising from the normal laws of Kirchhoff, other distributions of current, resulting from certain optimization criteria, may also be received.
M. Siwczyński, S. Żaba, A. Drwal
doaj   +1 more source

Fibonacci Series from Power Series [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2020
We show how every power series gives rise to a Fibonacci series and a companion series involving Lucas numbers. For illustrative purposes, Fibonacci series arising from trigonometric functions, inverse trigonometric functions, the gamma function and the digamma function are derived.
openaire   +2 more sources

The Role of “Adult‐Onset” Cancer Predisposition Genes in Pediatric Cancer: A Comprehensive Review

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Current literature estimates that 10% of pediatric cancers are caused by pathogenic or likely pathogenic (P/LP) germline variants in cancer predisposition genes (CPGs). Variants in CPGs thought to increase cancer risk exclusively during adulthood are referred to as “adult‐onset” CPGs (aoCPGs).
Maria Rozo   +5 more
wiley   +1 more source

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